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Express the H.C.F. of 18 and 24 in the f...

Express the H.C.F. of 18 and 24 in the form of 18x + 24y.

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The correct Answer is:
`6 = 18(-1) + 24(1)` or `6 = 18 (-25) + 24 (19)` or `6 = 18(23) + 24(-17)`
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NAGEEN PRAKASHAN-REAL NUMBERS-Exercise1 A
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  3. Express the H.C.F. of 18 and 24 in the form of 18x + 24y.

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  4. Express the H.C.F. of 30 and 36 in the form of 30x + 36y.

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  6. Find the largest number that divides 189 and 249 leaving remainder 9 i...

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  7. Find the largest number that divides 280 and 1248 leaving remainders 4...

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  8. Find the greartest number that divides 699 and 572 leaving remainders...

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  10. Show that any positive integer is of the form 3q or, 3q+1 or, 3q+2 ...

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  11. Show that every even positive integer is of the form 6q or 6q + 2 or...

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  12. Show that every positive integer is either even or odd.

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  13. Proof that the square of any positive integer is of the form of 4m or ...

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  15. Show that one and only one out of n ,n+2or ,n+4 is divisible by 3, whe...

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  16. There are 576 boys and 448 girls in a school that are to be divided in...

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